2202560042760 has 2048 divisors, whose sum is σ = 9973451980800. Its totient is φ = 422274124800.

The previous prime is 2202560042747. The next prime is 2202560042789. The reversal of 2202560042760 is 672400652022.

2202560042760 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 5 + 600 + 42 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7174462527 + ... + 7174462833.

It is an arithmetic number, because the mean of its divisors is an integer number (4869849600).

Almost surely, 2^{2202560042760} is an apocalyptic number.

2202560042760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202560042760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986725990400).

2202560042760 is an abundant number, since it is smaller than the sum of its proper divisors (7770891938040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2202560042760 is a wasteful number, since it uses less digits than its factorization.

2202560042760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 2202560042760 its reverse (672400652022), we get a palindrome (2874960694782).

The spelling of 2202560042760 in words is "two trillion, two hundred two billion, five hundred sixty million, forty-two thousand, seven hundred sixty".